From the DFT to wavelet transforms

Mark J. T. Smith

doi:10.1117/12.686319

17 April 2006 From the DFT to wavelet transforms

Mark J. T. Smith

Proceedings Volume 6247, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks IV; 624702 (2006) https://doi.org/10.1117/12.686319
Event: Defense and Security Symposium, 2006, Orlando (Kissimmee), Florida, United States

Abstract

The DFT has a long history as a powerful tool for addressing signal processing challenges. Similarly, time frequency representation like the short-time Fourier transform have been explored extensively for processing signals whose properties change with time. More recently there has been tremendous interest in applying wavelets and filter banks to signal processing problems. This paper is intended as a high level overview of filter banks and wavelets and their relationships to the traditional discrete Fourier and short-time Fourier transforms. An extensive set of references are provided to assist the interested reader in learning more about this exciting field.

Citation Download Citation

Mark J. T. Smith "From the DFT to wavelet transforms", Proc. SPIE 6247, Independent Component Analyses, Wavelets, Unsupervised Smart Sensors, and Neural Networks IV, 624702 (17 April 2006); https://doi.org/10.1117/12.686319

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KEYWORDS

Filtering (signal processing)

Signal processing

Discrete wavelet transforms

Fourier transforms

Wavelets

Electronic filtering

Wavelet transforms

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